Numpad 8: Float Up - while Alice is floating, hold this key down to float Alice even higher. You can use this to get into positions otherwise impossible or to make long jumps much easier.

Numpad 9: Death Pulse - press this key and any NPC's around Alice, including most enemies, will take massive damage. Most of them will be able to be killed with one swing or one shot. You can use this each time you encounter more enemies or groups of enemies.